Using linear pairs,
![115+5x=180\\\\5x=65\\\\x=\boxed{13}](https://tex.z-dn.net/?f=115%2B5x%3D180%5C%5C%5C%5C5x%3D65%5C%5C%5C%5Cx%3D%5Cboxed%7B13%7D)
By the exterior angle theorem,
![2y=45+5(13)\\\\2y=45+65\\\\2y=110\\\\y=\boxed{55}](https://tex.z-dn.net/?f=2y%3D45%2B5%2813%29%5C%5C%5C%5C2y%3D45%2B65%5C%5C%5C%5C2y%3D110%5C%5C%5C%5Cy%3D%5Cboxed%7B55%7D)
I dont think I can be answered with just the given info... is some of the q missing still?
Closest we can do with above is dress cost = 120+ c
Answer:
I think its 83
Step-by-step explanation:
Don’t know but will check on Google
Answer:
(a)![h(t)=\frac{1.3t^2}{2} + 2t +17](https://tex.z-dn.net/?f=h%28t%29%3D%5Cfrac%7B1.3t%5E2%7D%7B2%7D%20%2B%202t%20%2B17)
(b)62.85cm
Step-by-step explanation:
The growth rate of the shrub is given as:
![\frac{dh}{dt} = 1.3t + 2](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%201.3t%20%2B%202)
Where t=time in years, h=height in centimeters
(a)First, we solve for the height h(t) by integrating.
![\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $ C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7Bdh%7D%7Bdt%7D%20dt%3D%20%5Cint%20%281.3t%20%2B%202%29dt%5C%5Ch%28t%29%3D%5Cfrac%7B1.3t%5E2%7D%7B2%7D%20%2B%202t%20%2BC%2C%20%24%20%20C%20a%20constant%20of%20Integration%24%5C%5C%24We%20sunstitute%20the%20initial%20value%20to%20find%20the%20value%20of%20C%24%5C%5C%24When%20t%3D0%2C%20h%3D17cm%24%5C%5C17%3DC%5C%5CTherefore%3A%5C%5Ch%28t%29%3D%5Cfrac%7B1.3t%5E2%7D%7B2%7D%20%2B%202t%20%2B17)
(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.
![h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm](https://tex.z-dn.net/?f=h%28t%29%3D%5Cfrac%7B1.3t%5E2%7D%7B2%7D%20%2B%202t%20%2B17%5C%5Ch%287%29%3D%5Cfrac%7B1.3%2A7%5E2%7D%7B2%7D%20%2B%202%287%29%20%2B17%5C%5C%3D31.85%2B14%2B17%5C%5Ch%287%29%3D62.85cm)
The Shrubs are 62.85cm tall when they are sold.